[{"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","date_published":"2021-10-01T00:00:00Z","article_processing_charge":"No","arxiv":1,"acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","volume":3,"month":"10","external_id":{"arxiv":["2005.02098"]},"quality_controlled":"1","date_updated":"2025-04-14T07:27:00Z","publisher":"Mathematical Sciences Publishers","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"scopus_import":"1","citation":{"ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>"},"abstract":[{"text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.","lang":"eng"}],"oa_version":"Preprint","type":"journal_article","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"status":"public","date_created":"2024-01-28T23:01:43Z","article_type":"original","year":"2021","publication_status":"published","oa":1,"project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"doi":"10.2140/paa.2021.3.653","intvolume":"         3","language":[{"iso":"eng"}],"author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"orcid":"0000-0001-5059-4466","last_name":"Rademacher","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"page":"653-676","_id":"14889","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"RoSe"}],"issue":"4","ec_funded":1,"corr_author":"1","publication":"Pure and Applied Analysis","day":"01"},{"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"type":"journal_article","status":"public","oa_version":"Preprint","citation":{"ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>.","apa":"Bossmann, L., Petrat, S. P., Pickl, P., &#38; Soffer, A. (2021). Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. 2021;3(4):677-726. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021."},"abstract":[{"lang":"eng","text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions."}],"scopus_import":"1","publisher":"Mathematical Sciences Publishers","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"external_id":{"arxiv":["1912.11004"]},"quality_controlled":"1","date_updated":"2025-04-14T07:44:02Z","month":"10","volume":3,"title":"Beyond Bogoliubov dynamics","acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411.","date_published":"2021-10-01T00:00:00Z","article_processing_charge":"No","arxiv":1,"day":"01","corr_author":"1","publication":"Pure and Applied Analysis","ec_funded":1,"department":[{"_id":"RoSe"}],"issue":"4","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14890","page":"677-726","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","last_name":"Bossmann","first_name":"Lea","orcid":"0000-0002-6854-1343"},{"last_name":"Petrat","first_name":"Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"},{"full_name":"Soffer, Avy","first_name":"Avy","last_name":"Soffer"}],"language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.677","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"publication_status":"published","oa":1,"intvolume":"         3","year":"2021","date_created":"2024-01-28T23:01:43Z","article_type":"original"},{"day":"25","publication":"Archive for Rational Mechanics and Analysis","_id":"10224","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ec_funded":1,"department":[{"_id":"RoSe"}],"issue":"3","page":"1835–1906","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","file_date_updated":"2021-12-14T08:35:42Z","language":[{"iso":"eng"}],"ddc":["530"],"author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","first_name":"Dario"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"publication_status":"published","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"file":[{"relation":"main_file","date_updated":"2021-12-14T08:35:42Z","content_type":"application/pdf","file_size":990529,"file_name":"2021_Springer_Feliciangeli.pdf","access_level":"open_access","checksum":"672e9c21b20f1a50854b7c821edbb92f","creator":"alisjak","success":1,"file_id":"10544","date_created":"2021-12-14T08:35:42Z"}],"doi":"10.1007/s00205-021-01715-7","intvolume":"       242","year":"2021","date_created":"2021-11-07T23:01:26Z","article_type":"original","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"9787"}]},"type":"journal_article","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"status":"public","citation":{"ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. 2021;242(3):1835–1906. doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>","apa":"Feliciangeli, D., &#38; Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>.","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.","short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906."},"scopus_import":"1","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"oa_version":"Published Version","publisher":"Springer Nature","external_id":{"arxiv":["2101.12566"],"isi":["000710850600001"]},"quality_controlled":"1","date_updated":"2025-04-14T09:11:09Z","month":"10","volume":242,"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","arxiv":1,"date_published":"2021-10-25T00:00:00Z","article_processing_charge":"Yes (via OA deal)","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","isi":1},{"article_type":"original","date_created":"2022-01-02T23:01:33Z","year":"2021","intvolume":"         9","doi":"10.3390/atoms9040106","file":[{"file_size":303070,"content_type":"application/pdf","relation":"main_file","date_updated":"2022-01-03T10:15:05Z","date_created":"2022-01-03T10:15:05Z","success":1,"file_id":"10592","creator":"alisjak","checksum":"d0e44b95f36c9e06724f66832af0f8c3","file_name":"2021_Atoms_Brooks.pdf","access_level":"open_access"}],"publication_status":"published","oa":1,"author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","first_name":"Morris","last_name":"Brooks","orcid":"0000-0002-6249-0928"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802"},{"full_name":"Lundholm, Douglas","last_name":"Lundholm","first_name":"Douglas"},{"full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu"}],"language":[{"iso":"eng"}],"ddc":["530"],"file_date_updated":"2022-01-03T10:15:05Z","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"issue":"4","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10585","publication":"Atoms","corr_author":"1","day":"02","acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","article_processing_charge":"Yes","arxiv":1,"date_published":"2021-12-02T00:00:00Z","title":"Emergence of anyons on the two-sphere in molecular impurities","volume":9,"month":"12","date_updated":"2024-10-09T21:01:20Z","quality_controlled":"1","external_id":{"arxiv":["2108.06966"]},"publisher":"MDPI","oa_version":"Published Version","scopus_import":"1","abstract":[{"lang":"eng","text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle"}],"citation":{"ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” <i>Atoms</i>, vol. 9, no. 4. MDPI, 2021.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. 2021;9(4). doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. MDPI. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>. MDPI, 2021. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>, vol. 9, no. 4, 106, MDPI, 2021, doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021)."},"article_number":"106","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"status":"public","publication_identifier":{"eissn":["2218-2004"]},"type":"journal_article"},{"language":[{"iso":"eng"}],"author":[{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K"},{"first_name":"Simone Anna Elvira","last_name":"Rademacher","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication_status":"published","oa":1,"doi":"10.2140/APDE.2021.14.2079","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"intvolume":"        14","year":"2021","date_created":"2022-02-06T23:01:33Z","article_type":"original","day":"10","corr_author":"1","publication":"Analysis and PDE","_id":"10738","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"7","department":[{"_id":"RoSe"}],"ec_funded":1,"page":"2079-2100","external_id":{"isi":["000733976600004"],"arxiv":["1904.12532"]},"date_updated":"2025-04-14T07:26:53Z","quality_controlled":"1","month":"11","volume":14,"title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","date_published":"2021-11-10T00:00:00Z","article_processing_charge":"No","arxiv":1,"acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","isi":1,"type":"journal_article","publication_identifier":{"issn":["2157-5045"],"eissn":["1948-206X"]},"status":"public","citation":{"ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R.  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. 2021;14(7):2079-2100. doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” <i>Analysis and PDE</i>, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021.  The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>.","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021).  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>"},"scopus_import":"1","abstract":[{"lang":"eng","text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2."}],"oa_version":"Preprint","publisher":"Mathematical Sciences Publishers","main_file_link":[{"url":"https://arxiv.org/abs/1904.12532","open_access":"1"}]},{"department":[{"_id":"RoSe"}],"issue":"1","ec_funded":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7685","day":"01","publication":"Reviews in Mathematical Physics","year":"2021","date_created":"2020-04-26T22:00:45Z","article_type":"original","author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara","first_name":"Chiara","last_name":"Boccato"}],"language":[{"iso":"eng"}],"doi":"10.1142/S0129055X20600065","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"oa":1,"publication_status":"published","intvolume":"        33","oa_version":"Preprint","abstract":[{"text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.","lang":"eng"}],"scopus_import":"1","article_number":"2060006","citation":{"ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.","ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060006, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>."},"publisher":"World Scientific Publishing","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2001.00497"}],"publication_identifier":{"issn":["0129-055X"]},"type":"journal_article","status":"public","volume":33,"title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","isi":1,"date_published":"2021-01-01T00:00:00Z","article_processing_charge":"No","arxiv":1,"external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"date_updated":"2025-05-14T10:49:57Z","quality_controlled":"1","month":"01"},{"year":"2021","date_created":"2020-05-28T16:47:55Z","article_type":"original","language":[{"iso":"eng"}],"author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P","last_name":"Benedikter","first_name":"Niels P","orcid":"0000-0002-1071-6091"}],"publication_status":"published","oa":1,"doi":"10.1142/s0129055x20600090","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"intvolume":"        33","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7900","ec_funded":1,"department":[{"_id":"RoSe"}],"issue":"1","day":"01","publication":"Reviews in Mathematical Physics","volume":33,"title":"Bosonic collective excitations in Fermi gases","arxiv":1,"date_published":"2021-01-01T00:00:00Z","article_processing_charge":"No","isi":1,"external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"date_updated":"2025-05-14T10:49:46Z","quality_controlled":"1","month":"01","abstract":[{"lang":"eng","text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation."}],"article_number":"2060009","scopus_import":"1","citation":{"chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>"},"oa_version":"Preprint","publisher":"World Scientific Publishing","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"type":"journal_article","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"status":"public"},{"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"date_updated":"2025-04-14T07:27:00Z","quality_controlled":"1","month":"05","volume":225,"title":"Correlation energy of a weakly interacting Fermi gas","article_processing_charge":"Yes (via OA deal)","date_published":"2021-05-03T00:00:00Z","arxiv":1,"acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","isi":1,"type":"journal_article","publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"status":"public","citation":{"ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>."},"scopus_import":"1","abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}],"oa_version":"Published Version","publisher":"Springer","file_date_updated":"2022-05-16T12:23:40Z","language":[{"iso":"eng"}],"ddc":["510"],"author":[{"last_name":"Benedikter","first_name":"Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"oa":1,"publication_status":"published","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"doi":"10.1007/s00222-021-01041-5","file":[{"date_updated":"2022-05-16T12:23:40Z","relation":"main_file","content_type":"application/pdf","file_size":1089319,"success":1,"file_id":"11386","date_created":"2022-05-16T12:23:40Z","file_name":"2021_InventMath_Benedikter.pdf","access_level":"open_access","checksum":"f38c79dfd828cdc7f49a34b37b83d376","creator":"dernst"}],"intvolume":"       225","year":"2021","date_created":"2020-05-28T16:48:20Z","article_type":"original","day":"03","publication":"Inventiones Mathematicae","_id":"7901","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","department":[{"_id":"RoSe"}],"ec_funded":1,"page":"885-979","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1"},{"day":"01","publication":"Communications on Pure and Applied Mathematics","ec_funded":1,"department":[{"_id":"RoSe"}],"issue":"3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"8603","page":"544-588","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file_date_updated":"2021-03-11T10:03:30Z","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"ddc":["510"],"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","date_updated":"2021-03-11T10:03:30Z","file_size":334987,"success":1,"file_id":"9236","date_created":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf","access_level":"open_access","creator":"dernst","checksum":"5f665ffa6e6dd958aec5c3040cbcfa84"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"doi":"10.1002/cpa.21944","publication_status":"published","oa":1,"intvolume":"        74","year":"2021","date_created":"2020-10-04T22:01:37Z","article_type":"original","publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"type":"journal_article","status":"public","oa_version":"Published Version","abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"citation":{"ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. 2021;74(3):544-588. doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","apa":"Frank, R., &#38; Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>","chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2021. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>."},"scopus_import":"1","publisher":"Wiley","external_id":{"isi":["000572991500001"]},"date_updated":"2025-07-10T11:57:12Z","quality_controlled":"1","month":"03","volume":74,"title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","isi":1,"date_published":"2021-03-01T00:00:00Z","article_processing_charge":"No"},{"day":"08","publication":"Physical Review Letters","pmid":1,"department":[{"_id":"MiLe"},{"_id":"RoSe"}],"ec_funded":1,"issue":"1","_id":"9005","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","author":[{"orcid":"0000-0002-6249-0928","last_name":"Brooks","first_name":"Morris","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"first_name":"Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail"},{"first_name":"D.","last_name":"Lundholm","full_name":"Lundholm, D."},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874"}],"language":[{"iso":"eng"}],"intvolume":"       126","project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020"}],"doi":"10.1103/PhysRevLett.126.015301","oa":1,"publication_status":"published","year":"2021","article_type":"original","date_created":"2021-01-17T23:01:10Z","related_material":{"link":[{"description":"News on IST Homepage","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","relation":"press_release"}],"record":[{"status":"public","relation":"dissertation_contains","id":"12390"}]},"status":"public","publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"type":"journal_article","oa_version":"Preprint","abstract":[{"lang":"eng","text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field."}],"scopus_import":"1","citation":{"ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” <i>Physical Review Letters</i>, vol. 126, no. 1. American Physical Society, 2021.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. 2021;126(1). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301.","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>."},"article_number":"015301","main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"publisher":"American Physical Society","date_updated":"2026-04-16T08:20:53Z","quality_controlled":"1","external_id":{"arxiv":["2009.05948"],"isi":["000606325000003"],"pmid":["33480760"]},"month":"01","volume":126,"acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","isi":1,"date_published":"2021-01-08T00:00:00Z","article_processing_charge":"No","arxiv":1,"title":"Molecular impurities as a realization of anyons on the two-sphere"},{"article_processing_charge":"Yes (via OA deal)","date_published":"2021-02-11T00:00:00Z","isi":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","title":"Persistence of the spectral gap for the Landau–Pekar equations","volume":111,"month":"02","date_updated":"2026-04-08T06:59:49Z","quality_controlled":"1","external_id":{"isi":["000617195700001"]},"publisher":"Springer Nature","abstract":[{"text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times.","lang":"eng"}],"article_number":"19","scopus_import":"1","citation":{"short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>.","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021."},"oa_version":"Published Version","status":"public","type":"journal_article","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9733"}]},"article_type":"original","date_created":"2021-03-07T23:01:25Z","year":"2021","intvolume":"       111","publication_status":"published","oa":1,"doi":"10.1007/s11005-020-01350-5","file":[{"file_size":391205,"content_type":"application/pdf","date_updated":"2021-03-09T11:44:34Z","relation":"main_file","checksum":"ffbfe1aad623bce7ff529c207e343b53","creator":"dernst","access_level":"open_access","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","date_created":"2021-03-09T11:44:34Z","file_id":"9232","success":1}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"language":[{"iso":"eng"}],"ddc":["510"],"author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli"},{"id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","last_name":"Rademacher","orcid":"0000-0001-5059-4466"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"file_date_updated":"2021-03-09T11:44:34Z","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"9225","ec_funded":1,"department":[{"_id":"RoSe"}],"publication":"Letters in Mathematical Physics","day":"11"},{"abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order."}],"citation":{"ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240. Springer Nature, pp. 383–417, 2021.","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. 2021;240:383-417. doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>","apa":"Leopold, N. K., Mitrouskas, D. J., &#38; Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>.","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240, Springer Nature, 2021, pp. 383–417, doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>.","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417."},"scopus_import":"1","oa_version":"Published Version","publisher":"Springer Nature","type":"journal_article","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"status":"public","volume":240,"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","arxiv":1,"article_processing_charge":"No","date_published":"2021-02-26T00:00:00Z","acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","isi":1,"external_id":{"pmid":["33785964"],"arxiv":["2001.03993"],"isi":["000622226200001"]},"quality_controlled":"1","date_updated":"2025-06-12T06:35:22Z","month":"02","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9246","department":[{"_id":"RoSe"}],"ec_funded":1,"pmid":1,"page":"383-417","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","day":"26","publication":"Archive for Rational Mechanics and Analysis","year":"2021","date_created":"2021-03-14T23:01:34Z","article_type":"original","file_date_updated":"2021-03-22T08:31:29Z","ddc":["510"],"language":[{"iso":"eng"}],"author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","last_name":"Leopold","orcid":"0000-0002-0495-6822"},{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert"}],"oa":1,"publication_status":"published","file":[{"date_updated":"2021-03-22T08:31:29Z","relation":"main_file","content_type":"application/pdf","file_size":558006,"file_name":"2021_ArchRationalMechAnal_Leopold.pdf","access_level":"open_access","checksum":"23449e44dc5132501a5c86e70638800f","creator":"dernst","success":1,"file_id":"9270","date_created":"2021-03-22T08:31:29Z"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"doi":"10.1007/s00205-021-01616-9","intvolume":"       240"},{"title":"Free energy asymptotics of the quantum Heisenberg spin chain","isi":1,"acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","date_published":"2021-03-09T00:00:00Z","article_processing_charge":"Yes (via OA deal)","volume":111,"month":"03","external_id":{"pmid":["33785980"],"isi":["000626837400001"]},"quality_controlled":"1","date_updated":"2026-04-02T14:06:48Z","publisher":"Springer Nature","oa_version":"Published Version","scopus_import":"1","article_number":"31","citation":{"ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. 2021;111(2). doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2. Springer Nature, 2021.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2, 31, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>.","chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>.","apa":"Napiórkowski, M. M., &#38; Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>"},"abstract":[{"text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.","lang":"eng"}],"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"type":"journal_article","status":"public","date_created":"2021-03-21T23:01:19Z","article_type":"original","year":"2021","doi":"10.1007/s11005-021-01375-4","file":[{"file_size":397962,"date_updated":"2021-03-22T11:01:09Z","content_type":"application/pdf","relation":"main_file","creator":"dernst","checksum":"687fef1525789c0950de90468dd81604","access_level":"open_access","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","date_created":"2021-03-22T11:01:09Z","file_id":"9273","success":1}],"oa":1,"publication_status":"published","intvolume":"       111","file_date_updated":"2021-03-22T11:01:09Z","author":[{"first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"language":[{"iso":"eng"}],"ddc":["510"],"has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"issue":"2","department":[{"_id":"RoSe"}],"_id":"9256","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","pmid":1,"publication":"Letters in Mathematical Physics","day":"09"},{"isi":1,"acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","date_published":"2021-03-26T00:00:00Z","article_processing_charge":"Yes (via OA deal)","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","volume":9,"month":"03","quality_controlled":"1","date_updated":"2026-04-02T14:02:29Z","external_id":{"isi":["000634006900001"]},"publisher":"Cambridge University Press","oa_version":"Published Version","citation":{"apa":"Bossmann, L., Petrat, S. P., &#38; Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2021. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>.","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>, vol. 9, e28, Cambridge University Press, 2021, doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” <i>Forum of Mathematics, Sigma</i>, vol. 9. Cambridge University Press, 2021.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. 2021;9. doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>"},"article_number":"e28","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"scopus_import":"1","status":"public","publication_identifier":{"eissn":["2050-5094"]},"type":"journal_article","article_type":"original","date_created":"2021-04-11T22:01:15Z","year":"2021","intvolume":"         9","file":[{"file_size":883851,"relation":"main_file","date_updated":"2021-04-12T07:15:58Z","content_type":"application/pdf","checksum":"17a3e6786d1e930cf0c14a880a6d7e92","creator":"dernst","file_name":"2021_ForumMath_Bossmann.pdf","access_level":"open_access","date_created":"2021-04-12T07:15:58Z","success":1,"file_id":"9319"}],"doi":"10.1017/fms.2021.22","project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa":1,"publication_status":"published","author":[{"first_name":"Lea","last_name":"Bossmann","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea"},{"last_name":"Petrat","first_name":"Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"ddc":["510"],"language":[{"iso":"eng"}],"file_date_updated":"2021-04-12T07:15:58Z","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"ec_funded":1,"department":[{"_id":"RoSe"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"9318","publication":"Forum of Mathematics, Sigma","day":"26"},{"day":"05","publication":"Letters in Mathematical Physics","department":[{"_id":"RoSe"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","_id":"9333","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas"}],"ddc":["510"],"language":[{"iso":"eng"}],"file_date_updated":"2021-04-19T10:40:01Z","intvolume":"       111","file":[{"file_size":438084,"content_type":"application/pdf","date_updated":"2021-04-19T10:40:01Z","relation":"main_file","date_created":"2021-04-19T10:40:01Z","success":1,"file_id":"9341","checksum":"be56c0845a43c0c5c772ee0b5053f7d7","creator":"dernst","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","access_level":"open_access"}],"doi":"10.1007/s11005-021-01380-7","publication_status":"published","oa":1,"year":"2021","article_type":"original","date_created":"2021-04-18T22:01:41Z","status":"public","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"type":"journal_article","oa_version":"Published Version","citation":{"ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>, vol. 111, 45, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>.","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>.","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>"},"article_number":"45","abstract":[{"lang":"eng","text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation."}],"scopus_import":"1","publisher":"Springer Nature","date_updated":"2026-04-02T13:58:00Z","quality_controlled":"1","external_id":{"isi":["000637359300002"]},"month":"04","volume":111,"isi":1,"acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","article_processing_charge":"No","date_published":"2021-04-05T00:00:00Z","title":"A note on the Fröhlich dynamics in the strong coupling limit"},{"citation":{"ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. 2021;281(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” <i>Journal of Functional Analysis</i>, vol. 281, no. 3. Elsevier, 2021.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>, vol. 281, no. 3, 109029, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>.","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>.","apa":"Brooks, M., &#38; Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>"},"abstract":[{"text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension.","lang":"eng"}],"article_number":"109029","scopus_import":"1","oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/1911.03187","open_access":"1"}],"publisher":"Elsevier","status":"public","type":"journal_article","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"volume":281,"date_published":"2021-04-07T00:00:00Z","article_processing_charge":"No","arxiv":1,"isi":1,"acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","title":"Sharp tunneling estimates for a double-well model in infinite dimension","quality_controlled":"1","date_updated":"2023-08-08T13:15:11Z","external_id":{"arxiv":["1911.03187"],"isi":["000644702800005"]},"month":"04","_id":"9348","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","issue":"3","department":[{"_id":"RoSe"}],"day":"07","publication":"Journal of Functional Analysis","year":"2021","article_type":"original","date_created":"2021-04-25T22:01:29Z","language":[{"iso":"eng"}],"author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","last_name":"Brooks","first_name":"Morris","orcid":"0000-0002-6249-0928"},{"full_name":"Di Gesù, Giacomo","last_name":"Di Gesù","first_name":"Giacomo"}],"intvolume":"       281","publication_status":"published","oa":1,"doi":"10.1016/j.jfa.2021.109029"},{"has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"page":"2595-2618","pmid":1,"ec_funded":1,"department":[{"_id":"RoSe"}],"_id":"9351","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Annales Henri Poincare","day":"08","article_type":"original","date_created":"2021-04-25T22:01:30Z","year":"2021","intvolume":"        22","file":[{"file_name":"2021_Annales_Kirkpatrick.pdf","access_level":"open_access","creator":"cchlebak","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1,"file_id":"10143","date_created":"2021-10-15T11:15:40Z","date_updated":"2021-10-15T11:15:40Z","content_type":"application/pdf","relation":"main_file","file_size":522669}],"doi":"10.1007/s00023-021-01044-1","project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"oa":1,"publication_status":"published","author":[{"full_name":"Kirkpatrick, Kay","last_name":"Kirkpatrick","first_name":"Kay"},{"last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"}],"language":[{"iso":"eng"}],"ddc":["530"],"file_date_updated":"2021-10-15T11:15:40Z","publisher":"Springer Nature","oa_version":"Published Version","scopus_import":"1","citation":{"ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” <i>Annales Henri Poincare</i>, vol. 22. Springer Nature, pp. 2595–2618, 2021.","ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. 2021;22:2595-2618. doi:<a href=\"https://doi.org/10.1007/s00023-021-01044-1\">10.1007/s00023-021-01044-1</a>","chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00023-021-01044-1\">https://doi.org/10.1007/s00023-021-01044-1</a>.","apa":"Kirkpatrick, K., Rademacher, S. A. E., &#38; Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-021-01044-1\">https://doi.org/10.1007/s00023-021-01044-1</a>","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618.","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:<a href=\"https://doi.org/10.1007/s00023-021-01044-1\">10.1007/s00023-021-01044-1</a>."},"abstract":[{"lang":"eng","text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. "}],"status":"public","publication_identifier":{"issn":["1424-0637"]},"type":"journal_article","acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","isi":1,"article_processing_charge":"Yes (via OA deal)","arxiv":1,"date_published":"2021-04-08T00:00:00Z","title":"A large deviation principle in many-body quantum dynamics","volume":22,"month":"04","quality_controlled":"1","date_updated":"2025-06-12T06:39:59Z","external_id":{"pmid":["34776771"],"arxiv":["2010.13754"],"isi":["000638022600001"]}},{"month":"09","external_id":{"isi":["000656508600008"],"arxiv":["2009.00992"]},"date_updated":"2025-04-14T07:26:53Z","quality_controlled":"1","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","arxiv":1,"date_published":"2021-09-15T00:00:00Z","article_processing_charge":"No","acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","isi":1,"volume":281,"type":"journal_article","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"status":"public","publisher":"Elsevier","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.00992"}],"article_number":"109096","scopus_import":"1","citation":{"chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>.","apa":"Deuchert, A., &#38; Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>, vol. 281, no. 6, 109096, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>.","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” <i>Journal of Functional Analysis</i>, vol. 281, no. 6. Elsevier, 2021.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. 2021;281(6). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>"},"abstract":[{"text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions.","lang":"eng"}],"oa_version":"Preprint","oa":1,"publication_status":"published","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"doi":"10.1016/j.jfa.2021.109096","intvolume":"       281","language":[{"iso":"eng"}],"author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"date_created":"2021-06-06T22:01:28Z","article_type":"original","year":"2021","publication":"Journal of Functional Analysis","day":"15","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9462","department":[{"_id":"RoSe"}],"issue":"6","ec_funded":1},{"year":"2021","date_created":"2021-08-06T08:25:57Z","language":[{"iso":"eng"}],"ddc":["510"],"author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"publication_status":"draft","oa":1,"doi":"10.48550/arXiv.2101.12566","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9787","department":[{"_id":"RoSe"}],"ec_funded":1,"tmp":{"short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","day":"01","corr_author":"1","publication":"arXiv","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","article_processing_charge":"No","date_published":"2021-02-01T00:00:00Z","arxiv":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","external_id":{"arxiv":["2101.12566"]},"date_updated":"2026-04-08T06:59:49Z","month":"02","article_number":"2101.12566","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"citation":{"chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>.","apa":"Feliciangeli, D., &#38; Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, 2101.12566, doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>arXiv</i>. .","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>"},"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/2101.12566","open_access":"1"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"10224"},{"relation":"dissertation_contains","id":"9733","status":"public"}]},"type":"preprint","status":"public"},{"date_updated":"2026-04-08T06:59:49Z","external_id":{"arxiv":["2107.03720"]},"month":"07","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","arxiv":1,"article_processing_charge":"No","date_published":"2021-07-08T00:00:00Z","title":"The effective mass problem for the Landau-Pekar equations","related_material":{"record":[{"relation":"later_version","id":"10755","status":"public"},{"id":"9733","relation":"dissertation_contains","status":"public"}]},"status":"public","type":"preprint","oa_version":"Preprint","article_number":"2107.03720 ","abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"citation":{"apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, 2107.03720, doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>arXiv</i>. .","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>"},"main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"author":[{"orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"language":[{"iso":"eng"}],"ddc":["510"],"doi":"10.48550/arXiv.2107.03720","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"oa":1,"publication_status":"draft","year":"2021","date_created":"2021-08-06T08:49:45Z","day":"08","publication":"arXiv","corr_author":"1","OA_place":"repository","department":[{"_id":"RoSe"}],"ec_funded":1,"_id":"9791","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}]